Cryptography
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Unconditional Proof Establishes Weber's Conjecture for Module-LWE up to k=12
This paper delivers the first unconditional verification of Weber's 1886 conjecture for k ≤ 12, eliminating reliance on the Generalized Riemann Hypothesis previously required for k ≥ 9. Weber's conjecture underpins lattice-based cryptography by ensuring solvability of the Principal Ideal Problem, fr…